A self-duality of strong starlikeness

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


In this note, we will show that a simply connected bounded domain D is strongly starlike of order α < 1 with respect to the origin if and only if so is D˅, where D˅ is the analytic inversion of the exterior of D, namely, D˅ = {w ∈ C: 1/w ∈ Ĉ\˅}. This fact neatly explains the relationship between some known properties of strongly starlike domains and provides several new characterizations for those domains.

Original languageEnglish
Pages (from-to)382-389
Number of pages8
JournalKodai Mathematical Journal
Issue number2
Publication statusPublished - 2005


  • logarithmic spiral
  • strongly starlike


Dive into the research topics of 'A self-duality of strong starlikeness'. Together they form a unique fingerprint.

Cite this